Ex 2.3, 2 - Find domain and range (i) f(x) = -|x| - Chapter 2 - Finding Domain and Range - General Method

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Ex2.3, 2 Find the domain and range of the following real function: f(x) = –|x| Here we are given a real function Hence, both domain and range should be real numbers Here value of domain (x) can be any real number Hence, Domain = R (All real numbers) We note that that range f(x) is 0 or negative numbers, So range cannot be positive Hence, Range = Non positive real numbers Ex 2.3, 2 Find the domain and range of the following real function: (ii) f(x) = √((9 −x^2)) It is given that the function is a real function. Hence, both its domain and range should be real numbers Hence, value of domain (x) should be minimum -3 and maximum 3 Hence, Domain = [–3,3] Similarly, value of range (f(x)) will be minimum 0 and will be maximum 3 Hence, Range = [0,3]

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